Search a number
-
+
109385449581744 = 2433761592990771
BaseRepresentation
bin11000110111110001001000…
…110111011010110010110000
3112100022010222001111220011000
4120313301020313122302300
5103314132400043103434
61024350552023322000
732016560261250210
oct3067611067326260
9470263861456130
10109385449581744
1131943121686046
12103277718b0300
134906007ca940b
141d023d9466240
15c9a577289b99
hex637c48ddacb0

109385449581744 has 160 divisors (see below), whose sum is σ = 364713044410880. Its totient is φ = 30740641516800.

The previous prime is 109385449581739. The next prime is 109385449581887. The reversal of 109385449581744 is 447185944583901.

It is a happy number.

109385449581744 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 8 + 5 + 449 + 5 + 8 + 174 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296310922 + ... + 296679849.

It is an arithmetic number, because the mean of its divisors is an integer number (2279456527568).

Almost surely, 2109385449581744 is an apocalyptic number.

109385449581744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

109385449581744 is an abundant number, since it is smaller than the sum of its proper divisors (255327594829136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

109385449581744 is a wasteful number, since it uses less digits than its factorization.

109385449581744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592990856 (or 592990844 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 109385449581744 in words is "one hundred nine trillion, three hundred eighty-five billion, four hundred forty-nine million, five hundred eighty-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 61 63 72 84 108 112 122 126 144 168 183 189 216 244 252 336 366 378 427 432 488 504 549 732 756 854 976 1008 1098 1281 1464 1512 1647 1708 2196 2562 2928 3024 3294 3416 3843 4392 5124 6588 6832 7686 8784 10248 11529 13176 15372 20496 23058 26352 30744 46116 61488 92232 184464 592990771 1185981542 1778972313 2371963084 3557944626 4150935397 4743926168 5336916939 7115889252 8301870794 9487852336 10673833878 12452806191 14231778504 16010750817 16603741588 21347667756 24905612382 28463557008 32021501634 33207483176 36172437031 37358418573 42695335512 49811224764 64043003268 66414966352 72344874062 74716837146 85390671024 99622449528 108517311093 112075255719 128086006536 144689748124 149433674292 199244899056 217034622186 224150511438 253207059217 256172013072 289379496248 298867348584 325551933279 434069244372 448301022876 506414118434 578758992496 597734697168 651103866558 759621177651 868138488744 896602045752 976655799837 1012828236868 1302207733116 1519242355302 1736276977488 1793204091504 1953311599674 2025656473736 2278863532953 2604415466232 3038484710604 3906623199348 4051312947472 4557727065906 5208830932464 6076969421208 6836590598859 7813246398696 9115454131812 12153938842416 13673181197718 15626492797392 18230908263624 27346362395436 36461816527248 54692724790872 109385449581744